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navik [9.2K]
3 years ago
13

Write the set of real numbers in interval notation. {x | x ≥ −8}

Mathematics
1 answer:
Vikentia [17]3 years ago
8 0
The answer is: [-8, \infty)

Which can be written as: [-8, infinity) 

This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.

Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set". 

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers. 
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Answer:

x ≥ 5

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Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

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He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

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These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = 2.3\times 20 + 3\times 10 =$76

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Step-by-step explanation:

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The function V(t)=1,000(1.06)^t models the value of an investment after t years. What does the ".06" represent in the function?
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Answer:

A

Step-by-step explanation:

Looking at the function, we have;

V(t) = 1,000(1.06)^t

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